Question

Alejandro is planning a trip to Asheville. He knows the hotel costs $105 per night and the round trip flight is $249. He has a budget of $700 to spend on his trip. Which of the following inequalities represents his budget to determine how many nights he can stay in Asheville?

105n + 249 ≤ 700
105n + 249 ≥ 700
249n + 105 ≤ 700
249n + 105 ≥ 700

Answer 1

Answer:105n + 249 ≤ 700

Explanation:

Answer 2

Let n be the number of nights Alejandro can stay in Asheville.
He knows the hotel costs $105 per night, so he can count that n nights will cost $105n.

The round trip flight costs $249. Then the total amount of money he has to spend is $105n+$249 and since his budget cannot be greater than $700, he can conclude that


105n + 249 ≤ 700.

Answer: The correct choice is A.